Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions

被引:44
作者
Arrigoni, E [1 ]
机构
[1] Univ Wurzburg, Inst Theoret Phys, D-97074 Wurzburg, Germany
关键词
D O I
10.1103/PhysRevLett.83.128
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading-logarithmic divergences can be resummed to all orders, within a self-consistent perturbative expansion in the hopping, in the large-dimension limit. The anomalous exponent scales to zero below the one-particle crossover temperature. As a consequence, coherent quasiparticles with finite weight appear along the whole Fermi surface. Extending the expansion self-consistently to all orders turns out to he crucial to restore the correct Fermi-liquid behavior.
引用
收藏
页码:128 / 131
页数:4
相关论文
共 16 条
[1]   Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory [J].
Arrigoni, E .
PHYSICAL REVIEW LETTERS, 1998, 80 (04) :790-793
[2]   ONE-PARTICLE AND 2-PARTICLE INSTABILITY OF COUPLED LUTTINGER LIQUIDS [J].
BOIES, D ;
BOURBONNAIS, C ;
TREMBLAY, AMS .
PHYSICAL REVIEW LETTERS, 1995, 74 (06) :968-971
[3]   INSTABILITIES OF ANISOTROPIC INTERACTING FERMI SYSTEMS [J].
CASTELLANI, C ;
DICASTRO, C ;
METZNER, W .
PHYSICAL REVIEW LETTERS, 1992, 69 (11) :1703-1706
[4]   DIMENSIONAL CROSSOVER FROM FERMI TO LUTTINGER LIQUID [J].
CASTELLANI, C ;
DICASTRO, C ;
METZNER, W .
PHYSICAL REVIEW LETTERS, 1994, 72 (03) :316-319
[5]   INCOHERENCE OF SINGLE-PARTICLE HOPPING BETWEEN LUTTINGER LIQUIDS [J].
CLARKE, DG ;
STRONG, SP ;
ANDERSON, PW .
PHYSICAL REVIEW LETTERS, 1994, 72 (20) :3218-3221
[6]   POSSIBLE OBSERVATION OF A LUTTINGER-LIQUID BEHAVIOR FROM PHOTOEMISSION SPECTROSCOPY OF ONE-DIMENSIONAL ORGANIC CONDUCTORS [J].
DARDEL, B ;
MALTERRE, D ;
GRIONI, M ;
WEIBEL, P ;
BAER, Y ;
VOIT, J ;
JEROME, D .
EUROPHYSICS LETTERS, 1993, 24 (08) :687-692
[7]  
DIATLOV IT, 1957, ZH EKSP TEOR FIZ, V5, P631
[8]   Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions [J].
Georges, A ;
Kotliar, G ;
Krauth, W ;
Rozenberg, MJ .
REVIEWS OF MODERN PHYSICS, 1996, 68 (01) :13-125
[9]   LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS [J].
HALDANE, FDM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19) :2585-2609
[10]   ANOMALOUS SCALING AND SPIN-CHARGE SEPARATION IN COUPLED CHAINS [J].
KOPIETZ, P ;
MEDEN, V ;
SCHONHAMMER, K .
PHYSICAL REVIEW LETTERS, 1995, 74 (15) :2997-3000